The following table summarizes the yields to maturity on several one$-$year, zero$-$coupon securities: $\%($Note: The yields displayed in the table are annually compounded yields.$)$ a$.$ What is the price $($expressed as a percentage of the face value$)$ of a one$-$year, zero$-$coupon corporate bond with an AAA rating?

b$.$ What is the credit spread on AAA$-$rated corporate bonds?

c$.$ What is the credit spread on B$-$rated corporate bonds?

d$.$ How does the credit spread change with the bond rating? Why?

table

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$\backslash$table$[[$Security$,$Yield$],[$Treasury$,3\mathrm{.}11\%$